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Finding the Third Proportional to 2,457,646 and 5,346,676

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Solution

The third proportional to 2,457,646 and 5,346,676 is: 11,631,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,646 : 5,346,676 = 5,346,676 : x
  2. Step 2: Convert to fraction form
    2,457,646/5,346,676 = 5,346,676/x
  3. Step 3: Cross multiply
    2,457,646x = 5,346,676 × 5,346,676
  4. Step 4: Simplify right side
    2,457,646x = 28,586,944,248,976
  5. Step 5: Solve for x
    x = 28,586,944,248,976/2,457,646
  6. Step 6: Final answer
    x = 11,631,839.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.